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Finding the Fourth Proportional to 5,407.80, 8,111.67 and 2,118.57

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Solution

The fourth proportional to 5,407.80, 8,111.67 and 2,118.57 is: 3,177.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407.80 : 8,111.67 = 2,118.57 : x
  2. Step 2: Convert to fraction form
    5,407.80/8,111.67 = 2,118.57/x
  3. Step 3: Cross multiply
    5,407.80x = 8,111.67 × 2,118.57
  4. Step 4: Simplify right side
    5,407.80x = 17,185,140.71
  5. Step 5: Solve for x
    x = 17,185,140.71/5,407.80
  6. Step 6: Final answer
    x = 3,177.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.